Article ID Journal Published Year Pages File Type
1140001 Mathematics and Computers in Simulation 2009 11 Pages PDF
Abstract

In this work, we propose a delayed predator–prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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